Question

Which number line represents the solutions to |x – 5| = 1?

A number line from negative 7 to 7 in increments of 1. Two points, one at negative 6 and one at negative 4.
A number line from negative 7 to 7 in increments of 1. Two points, one at 4 and one at 6.
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 5 and one at 1.
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 1 and one at 5.

Answer 1

|x − 5| = 1 means x − 5 = 1 or x − 5 = −1, so x = 6 or x = 4.

Thus the correct number line is the one with points at 4 and 6.